English Title

On a new type of rational and highly convergent series, by which the ratio of the periphery to the diameter is able to be expressed

Authors

Leonhard Euler

Enestrom Number

706

Fuss Index

158

Original Language

Latin

Published as

Journal article

Published Date

1798

Written Date

1779

Content Summary

According to Eneström, Euler begins with an examination of the identity ∫ (2+2x+x2)/(4+x2) dx = arctan[x/(2–x)].

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 11, pp. 150-154.

Opera Omnia Citation

Series 1, Volume 16B, pp.21-27.

Record Created

2018-09-25

Included in

Mathematics Commons

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